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106667033643 = 32311051363767
BaseRepresentation
bin110001101010111011…
…0011100010000101011
3101012022210211202001200
41203111312130100223
53221423230034033
6121000244415243
710464210553242
oct1432566342053
9335283752050
10106667033643
114126783a165
121880a6a7523
13a09bb44671
14523c6a5959
152b946d2013
hex18d5d9c42b

106667033643 has 24 divisors (see below), whose sum is σ = 159196517376. Its totient is φ = 68751774000.

The previous prime is 106667033587. The next prime is 106667033653. The reversal of 106667033643 is 346330766601.

It is a de Polignac number, because none of the positive numbers 2k-106667033643 is a prime.

It is a super-2 number, since 2×1066670336432 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106667033653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111346 + ... + 475112.

It is an arithmetic number, because the mean of its divisors is an integer number (6633188224).

Almost surely, 2106667033643 is an apocalyptic number.

106667033643 is a deficient number, since it is larger than the sum of its proper divisors (52529483733).

106667033643 is a wasteful number, since it uses less digits than its factorization.

106667033643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364855 (or 364852 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The spelling of 106667033643 in words is "one hundred six billion, six hundred sixty-seven million, thirty-three thousand, six hundred forty-three".

Divisors: 1 3 9 31 93 279 1051 3153 9459 32581 97743 293229 363767 1091301 3273903 11276777 33830331 101490993 382319117 1146957351 3440872053 11851892627 35555677881 106667033643